A FluxSpline calculation procedure for parabolic flow problems
Abstract
A FluxSpline calculation procedure is developed for the solution of parabolic flow problems. The calculation procedure is an improvement of the controlvolume based finite difference method of Patankar and Spalding. In the FluxSpline method, the crossstream profile variation of the dependent variable is derived by assuming the total flux to vary linearly between controlvolume faces. A simple solution procedure is devised for both external and internal flow situations. In this procedure, no iteration is necessary to handle the coupling between the total fluxes and the corresponding dependent variables. At any streamwise location, a tridiagonal system of algebraic equations is first solved for the total fluxes. This solution is then used to determine the values of the corresponding dependent variables. The superiority of the FluxSpline Method is demonstrated through four test problems.
 Publication:

American Society of Mechanical Engineers
 Pub Date:
 November 1983
 Bibcode:
 1983asme.meetR....A
 Keywords:

 Computational Fluid Dynamics;
 Flow Geometry;
 Flux Quantization;
 Spline Functions;
 Boundary Value Problems;
 Combustible Flow;
 Convective Flow;
 Differential Equations;
 Diffusion Theory;
 Finite Difference Theory;
 Flat Plates;
 Flow Deflection;
 Parabolas;
 Wall Flow;
 Fluid Mechanics and Heat Transfer